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CLAT UG Quantitative Techniques Flashcards
50 question-and-answer cards covering Quantitative Techniques as it is examined in CLAT UG. 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Quantitative Techniques deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What does it mean when a pair of linear equations has a unique solution (graphically)?
The two lines intersect at exactly one point; condition: a₁/a₂ ≠ b₁/b₂.
What condition makes a pair of linear equations have no solution?
The lines are parallel: a₁/a₂ = b₁/b₂ ≠ c₁/c₂ (the system is inconsistent).
What condition makes a pair of linear equations have infinitely many solutions?
The lines coincide: a₁/a₂ = b₁/b₂ = c₁/c₂ (the system is dependent/consistent).
Name two algebraic methods to solve a pair of linear equations.
Substitution method and elimination method (also cross-multiplication).
What is the standard form of a quadratic equation?
ax² + bx + c = 0, where a ≠ 0 (the highest power of the variable is 2).
State the quadratic formula.
x = [−b ± √(b² − 4ac)] / (2a), for ax² + bx + c = 0.
What is the discriminant of a quadratic equation and its symbol?
The discriminant is D = b² − 4ac; it determines the nature of the roots.
How does the discriminant determine the nature of the roots?
If D > 0: two distinct real roots; if D = 0: two equal real roots; if D < 0: no real roots (roots are complex).
For ax² + bx + c = 0, what are the sum and product of the roots?
Sum of roots = −b/a; Product of roots = c/a.
How do you form a quadratic equation given its roots α and β?
x² − (α + β)x + αβ = 0, i.e., x² − (sum of roots)x + (product of roots) = 0.
What is a polynomial?
An algebraic expression of the form aₙxⁿ + ... + a₁x + a₀ where exponents are whole numbers and coefficients are real, e.g., 3x² − 2x + 5.
What is the degree of a polynomial?
The highest power of the variable in the polynomial, e.g., 4x³ + x − 7 has degree 3.
Name polynomials of degree 1, 2, and 3.
Degree 1 = linear; degree 2 = quadratic; degree 3 = cubic.
What is a zero (root) of a polynomial?
A value of the variable for which the polynomial equals 0, i.e., p(k) = 0 means k is a zero of p(x).
State the Remainder Theorem.
If a polynomial p(x) is divided by (x − a), the remainder is p(a).
State the Factor Theorem.
(x − a) is a factor of polynomial p(x) if and only if p(a) = 0.
How many zeroes can a polynomial of degree n have at most?
At most n zeroes (a degree-n polynomial has at most n real roots).
What is a bar graph used for?
To compare discrete categories of data using rectangular bars of equal width whose lengths/heights are proportional to the values they represent.
What is the difference between a bar graph and a histogram?
A bar graph shows discrete/categorical data with gaps between bars; a histogram shows continuous data in class intervals with no gaps between bars.
What does a pie chart represent and what is its total?
A pie chart shows parts of a whole as sectors of a circle; the whole circle represents 100% (or 360°).
How do you convert a percentage into the central angle of a pie chart?
Central angle = (Percentage / 100) × 360°, i.e., each 1% corresponds to 3.6°.
In a pie chart, what central angle represents 25% of the data?
90°, since 25% × 360° = 90° (a quarter of the circle).
What is a data table (tabulation) used for in quantitative analysis?
To organize numerical data in rows and columns for easy reading, comparison, and computation of totals, averages, ratios, and trends.
When comparing data, which is generally better for showing proportions vs. comparing magnitudes: a pie chart or a bar graph?
A pie chart is better for showing proportions/share of a whole; a bar graph is better for comparing absolute magnitudes across categories.
What this deck covers
The Quantitative Techniques deck follows the CLAT UG Quantitative Techniques syllabus — 3 chapters and 9 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 16.7 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 87 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Quantitative Techniques flashcards FAQ
How many Quantitative Techniques flashcards are in this CLAT UG deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these CLAT UG flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Quantitative Techniques cards cover?
They follow the CLAT UG Quantitative Techniques syllabus — 3 chapters and 9 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.